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Simplifying 6t2 = -23t Solving 6t2 = -23t Solving for variable 't'. Reorder the terms: 23t + 6t2 = -23t + 23t Combine like terms: -23t + 23t = 0 23t + 6t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(23 + 6t) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(23 + 6t)' equal to zero and attempt to solve: Simplifying 23 + 6t = 0 Solving 23 + 6t = 0 Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 6t = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 6t = 0 + -23 6t = 0 + -23 Combine like terms: 0 + -23 = -23 6t = -23 Divide each side by '6'. t = -3.833333333 Simplifying t = -3.833333333Solution
t = {0, -3.833333333}
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